This paper is a quantitative, equilibrium study of the insurance role of severance pay when workers face displacement risk and markets are incomplete. A key feature of our model is that, in line with an established empirical literature, job displacement entails a persistent fall in earnings upon re-employment due to the loss of tenure. The model is solved numerically and calibrated to the US economy. In contrast to previous studies that have analyzed severance payments in the absence of persistent earning losses, we find that the welfare gains from the insurance against job displacement afforded by severance pay are sizable.Keywords: Severance Payments, Incomplete Markets, Welfare.JEL classification: E24, D52, D58, J65.$ We thank the editor, Urban Jermann, and an anonymous referee for helpful and constructive comments, as well as Gianluca Violante for his help on this project. We are also grateful to the George Alessandria, Rui Castro, Henry Farber, Dirk Krueger, Igor Livshits, Claudio Michelacci, Makoto Nakajima, Fabien Postel-Vinay, Víctor Ríos-Rull, Richard Rogerson, Andrew Scott and seminar participants at several conferences and institutions for useful comments and suggestions.